%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR141^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:47:08 AM UTC 2026
% Result : Theorem 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR141^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n017.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 17:51:53 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.28 % (678574)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.28 % (678582)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2377687948:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.20/0.28 % (678582)Refutation not found, incomplete strategy
% 0.20/0.28 % (678582)------------------------------
% 0.20/0.28 % (678582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (678582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (678582)CaDiCaL version: 2.1.3
% 0.20/0.28 % (678582)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.28 % (678582)Time elapsed: 0.002 s
% 0.20/0.28 % (678582)Peak memory usage: 12 MB
% 0.20/0.28 % (678582)Instructions burned: 4 (million)
% 0.20/0.28 % (678582)------------------------------
% 0.20/0.28 % (678582)------------------------------
% 0.20/0.28 % (678585)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.28 % (678585)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.20/0.28 % (678579)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2858317312:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.28 % (678581)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2386453114:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.28 % (678580)lrs+10_16_si=on:nwc=1.5:random_seed=4181469230:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.28 % (678584)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3334937391:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.28 % (678583)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2059827320:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.28 % (678585)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3545891365:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.28 % (678583)Refutation not found, incomplete strategy
% 0.20/0.28 % (678583)------------------------------
% 0.20/0.28 % (678583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (678583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (678583)CaDiCaL version: 2.1.3
% 0.20/0.28 % (678583)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.28 % (678583)Time elapsed: 0.002 s
% 0.20/0.28 % (678583)Peak memory usage: 12 MB
% 0.20/0.28 % (678583)Instructions burned: 2 (million)
% 0.20/0.28 % (678581)Refutation not found, incomplete strategy
% 0.20/0.28 % (678581)------------------------------
% 0.20/0.28 % (678581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (678581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (678581)CaDiCaL version: 2.1.3
% 0.20/0.28 % (678581)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.28 % (678581)Time elapsed: 0.002 s
% 0.20/0.28 % (678579)Refutation not found, incomplete strategy
% 0.20/0.28 % (678579)------------------------------
% 0.20/0.28 % (678579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (678581)Peak memory usage: 12 MB
% 0.20/0.28 % (678581)Instructions burned: 3 (million)
% 0.20/0.28 % (678579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (678579)CaDiCaL version: 2.1.3
% 0.20/0.28 % (678579)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.28 % (678579)Time elapsed: 0.003 s
% 0.20/0.28 % (678579)Peak memory usage: 12 MB
% 0.20/0.28 % (678579)Instructions burned: 3 (million)
% 0.20/0.28 % (678580)Refutation not found, incomplete strategy
% 0.20/0.28 % (678580)------------------------------
% 0.20/0.28 % (678580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (678580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (678580)CaDiCaL version: 2.1.3
% 0.20/0.28 % (678580)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.28 % (678580)Time elapsed: 0.003 s
% 0.20/0.28 % (678580)Peak memory usage: 12 MB
% 0.20/0.28 % (678580)Instructions burned: 4 (million)
% 0.20/0.28 % (678583)------------------------------
% 0.20/0.28 % (678583)------------------------------
% 0.20/0.28 % (678581)------------------------------
% 0.20/0.28 % (678581)------------------------------
% 0.20/0.28 % (678579)------------------------------
% 0.20/0.28 % (678579)------------------------------
% 0.20/0.28 % (678580)------------------------------
% 0.20/0.28 % (678580)------------------------------
% 0.20/0.28 % (678584) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-678574-678584"...
% 0.20/0.28 % (678587)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=975536662:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.28 % (678585) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-678574-678585"...
% 0.20/0.28 % (678584)...printing done.
% 0.20/0.28 % (678587)Instruction limit reached!
% 0.20/0.28 % (678587)------------------------------
% 0.20/0.28 % (678587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (678587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (678587)CaDiCaL version: 2.1.3
% 0.20/0.28 % (678587)Termination reason: Instruction limit
% 0.20/0.28 % (678587)Termination phase: Saturation
% 0.20/0.28 % (678587)Time elapsed: 0.001 s
% 0.20/0.28 % (678587)Peak memory usage: 12 MB
% 0.20/0.28 % (678587)Instructions burned: 2 (million)
% 0.20/0.28 % (678584)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Theorem for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% 0.20/0.28 thf(type_def_5, type, num: $tType).
% 0.20/0.28 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.20/0.28 thf(func_def_0, type, agent_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.28 thf(func_def_1, type, connected_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.28 thf(func_def_2, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.20/0.28 thf(func_def_3, type, instance_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.28 thf(func_def_8, type, lWhenFn_THFTYPE_IiiI: ($i > $i)).
% 0.20/0.28 thf(func_def_10, type, orientation_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.20/0.28 thf(func_def_12, type, vNOT: ($o > $o)).
% 0.20/0.28 thf(f1,axiom,(
% 0.20/0.28 (agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i)),
% 0.20/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax)).
% 0.20/0.28 thf(f2,axiom,(
% 0.20/0.28 (agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i)),
% 0.20/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001)).
% 0.20/0.28 thf(f3,axiom,(
% 0.20/0.28 (instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i)),
% 0.20/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002)).
% 0.20/0.28 thf(f4,axiom,(
% 0.20/0.28 (holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ $true)),
% 0.20/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003)).
% 0.20/0.28 thf(f5,axiom,(
% 0.20/0.28 ! [X0 : $i,X1 : $i,X2 : $i] : (((instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i) & (agent_THFTYPE_IiioI @ X0 @ X1) & (agent_THFTYPE_IiioI @ X0 @ X2)) => (holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ X0) @ (orientation_THFTYPE_IiiioI @ X2 @ X1 @ lNear_THFTYPE_i)))),
% 0.20/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004)).
% 0.20/0.28 thf(f6,axiom,(
% 0.20/0.28 ! [X1 : $i,X0 : $i] : ((orientation_THFTYPE_IiiioI @ X0 @ X1 @ lNear_THFTYPE_i) => (~ (connected_THFTYPE_IiioI @ X0 @ X1)))),
% 0.20/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005)).
% 0.20/0.28 thf(f7,conjecture,(
% 0.20/0.28 (holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (~ (connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i)))),
% 0.20/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.20/0.28 thf(f8,negated_conjecture,(
% 0.20/0.28 ~(holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (~ (connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i)))),
% 0.20/0.28 inference(negated_conjecture,[status(cth)],[f7])).
% 0.20/0.28 thf(f9,plain,(
% 0.20/0.28 ! [X0 : $i,X1 : $i] : ((orientation_THFTYPE_IiiioI @ X1 @ X0 @ lNear_THFTYPE_i) => (~ (connected_THFTYPE_IiioI @ X1 @ X0)))),
% 0.20/0.28 inference(rectify,[],[f6])).
% 0.20/0.28 thf(f10,plain,(
% 0.20/0.28 ! [X0 : $i,X1 : $i] : ((((orientation_THFTYPE_IiiioI @ X1 @ X0 @ lNear_THFTYPE_i)) = $true) => ($true = ((~ (connected_THFTYPE_IiioI @ X1 @ X0)))))),
% 0.20/0.29 inference(fool_elimination,[],[f9])).
% 0.20/0.29 thf(f11,plain,(
% 0.20/0.29 ~(holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (~ (connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i)))),
% 0.20/0.29 inference(rectify,[],[f8])).
% 0.20/0.29 thf(f12,plain,(
% 0.20/0.29 ~ (((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (~ (connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i)))) = $true)),
% 0.20/0.29 inference(fool_elimination,[],[f11])).
% 0.20/0.29 thf(f13,plain,(
% 0.20/0.29 (agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i)),
% 0.20/0.29 inference(rectify,[],[f2])).
% 0.20/0.29 thf(f14,plain,(
% 0.20/0.29 (((agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i)) = $true)),
% 0.20/0.29 inference(fool_elimination,[],[f13])).
% 0.20/0.29 thf(f15,plain,(
% 0.20/0.29 (agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i)),
% 0.20/0.29 inference(rectify,[],[f1])).
% 0.20/0.29 thf(f16,plain,(
% 0.20/0.29 (((agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i)) = $true)),
% 0.20/0.29 inference(fool_elimination,[],[f15])).
% 0.20/0.29 thf(f17,plain,(
% 0.20/0.29 (instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i)),
% 0.20/0.29 inference(rectify,[],[f3])).
% 0.20/0.29 thf(f18,plain,(
% 0.20/0.29 (((instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i)) = $true)),
% 0.20/0.29 inference(fool_elimination,[],[f17])).
% 0.20/0.29 thf(f19,plain,(
% 0.20/0.29 (holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ $true)),
% 0.20/0.29 inference(rectify,[],[f4])).
% 0.20/0.29 thf(f20,plain,(
% 0.20/0.29 ($true = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ $true)))),
% 0.20/0.29 inference(fool_elimination,[],[f19])).
% 0.20/0.29 thf(f21,plain,(
% 0.20/0.29 ! [X0 : $i,X1 : $i,X2 : $i] : (((instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i) & (agent_THFTYPE_IiioI @ X0 @ X1) & (agent_THFTYPE_IiioI @ X0 @ X2)) => (holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ X0) @ (orientation_THFTYPE_IiiioI @ X2 @ X1 @ lNear_THFTYPE_i)))),
% 0.20/0.29 inference(rectify,[],[f5])).
% 0.20/0.29 thf(f22,plain,(
% 0.20/0.29 ! [X1 : $i,X0 : $i,X2 : $i] : (((((agent_THFTYPE_IiioI @ X0 @ X1)) = $true) & (((instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i)) = $true) & (((agent_THFTYPE_IiioI @ X0 @ X2)) = $true)) => (((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ X0) @ (orientation_THFTYPE_IiiioI @ X2 @ X1 @ lNear_THFTYPE_i))) = $true))),
% 0.20/0.29 inference(fool_elimination,[],[f21])).
% 0.20/0.29 thf(f23,plain,(
% 0.20/0.29 (((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (~ (connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i)))) != $true)),
% 0.20/0.29 inference(flattening,[],[f12])).
% 0.20/0.29 thf(f24,plain,(
% 0.20/0.29 ! [X1 : $i,X0 : $i] : (($true = ((~ (connected_THFTYPE_IiioI @ X1 @ X0)))) | (((orientation_THFTYPE_IiiioI @ X1 @ X0 @ lNear_THFTYPE_i)) != $true))),
% 0.20/0.29 inference(ennf_transformation,[],[f10])).
% 0.20/0.29 thf(f25,plain,(
% 0.20/0.29 ! [X1 : $i,X0 : $i,X2 : $i] : ((((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ X0) @ (orientation_THFTYPE_IiiioI @ X2 @ X1 @ lNear_THFTYPE_i))) = $true) | ((((agent_THFTYPE_IiioI @ X0 @ X1)) != $true) | (((instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i)) != $true) | (((agent_THFTYPE_IiioI @ X0 @ X2)) != $true)))),
% 0.20/0.29 inference(ennf_transformation,[],[f22])).
% 0.20/0.29 thf(f26,plain,(
% 0.20/0.29 ! [X1 : $i,X0 : $i,X2 : $i] : ((((agent_THFTYPE_IiioI @ X0 @ X1)) != $true) | (((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ X0) @ (orientation_THFTYPE_IiiioI @ X2 @ X1 @ lNear_THFTYPE_i))) = $true) | (((instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i)) != $true) | (((agent_THFTYPE_IiioI @ X0 @ X2)) != $true))),
% 0.20/0.29 inference(flattening,[],[f25])).
% 0.20/0.29 thf(f27,plain,(
% 0.20/0.29 ! [X0 : $i,X1 : $i,X2 : $i] : (($true != ((agent_THFTYPE_IiioI @ X1 @ X0))) | ($true = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ X1) @ (orientation_THFTYPE_IiiioI @ X2 @ X0 @ lNear_THFTYPE_i)))) | (((instance_THFTYPE_IiioI @ X1 @ lMeeting_THFTYPE_i)) != $true) | (((agent_THFTYPE_IiioI @ X1 @ X2)) != $true))),
% 0.20/0.29 inference(rectify,[],[f26])).
% 0.20/0.29 thf(f28,plain,(
% 0.20/0.29 ! [X0 : $i,X1 : $i] : ((((~ (connected_THFTYPE_IiioI @ X0 @ X1))) = $true) | (((orientation_THFTYPE_IiiioI @ X0 @ X1 @ lNear_THFTYPE_i)) != $true))),
% 0.20/0.29 inference(rectify,[],[f24])).
% 0.20/0.29 thf(f29,plain,(
% 0.20/0.29 (((instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i)) = $true)),
% 0.20/0.29 inference(cnf_transformation,[],[f18])).
% 0.20/0.29 thf(f30,plain,(
% 0.20/0.29 (((agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i)) = $true)),
% 0.20/0.29 inference(cnf_transformation,[],[f14])).
% 0.20/0.29 thf(f31,plain,(
% 0.20/0.29 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != ((agent_THFTYPE_IiioI @ X1 @ X0))) | ($true = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ X1) @ (orientation_THFTYPE_IiiioI @ X2 @ X0 @ lNear_THFTYPE_i)))) | (((agent_THFTYPE_IiioI @ X1 @ X2)) != $true) | (((instance_THFTYPE_IiioI @ X1 @ lMeeting_THFTYPE_i)) != $true)) )),
% 0.20/0.29 inference(cnf_transformation,[],[f27])).
% 0.20/0.29 thf(f32,plain,(
% 0.20/0.29 (((agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i)) = $true)),
% 0.20/0.29 inference(cnf_transformation,[],[f16])).
% 0.20/0.29 thf(f33,plain,(
% 0.20/0.29 ( ! [X0 : $i,X1 : $i] : ((((orientation_THFTYPE_IiiioI @ X0 @ X1 @ lNear_THFTYPE_i)) != $true) | (((~ (connected_THFTYPE_IiioI @ X0 @ X1))) = $true)) )),
% 0.20/0.29 inference(cnf_transformation,[],[f28])).
% 0.20/0.29 thf(f34,plain,(
% 0.20/0.29 (((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (~ (connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i)))) != $true)),
% 0.20/0.29 inference(cnf_transformation,[],[f23])).
% 0.20/0.29 thf(f35,plain,(
% 0.20/0.29 ($true = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ $true)))),
% 0.20/0.29 inference(cnf_transformation,[],[f20])).
% 0.20/0.29 thf(f37,definition,(
% 0.20/0.29 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.20/0.29 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.20/0.29 thf(f38,plain,(
% 0.20/0.29 ( ! [X0 : $i,X1 : $i] : ((((orientation_THFTYPE_IiiioI @ X0 @ X1 @ lNear_THFTYPE_i)) != $true) | (((connected_THFTYPE_IiioI @ X0 @ X1)) = $false)) )),
% 0.20/0.29 inference(not_proxy_clausification,[],[f33])).
% 0.20/0.29 thf(f42,plain,(
% 0.20/0.29 ($true != ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ $true))) | (((~ (connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i))) = $false)),
% 0.20/0.29 inference(constrained_superposition,[],[f34,f37])).
% 0.20/0.29 thf(f43,plain,(
% 0.20/0.29 (((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (~ (connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i)))) = $false) | ($true != $true)),
% 0.20/0.29 inference(constrained_superposition,[],[f34,f37])).
% 0.20/0.29 thf(f50,plain,(
% 0.20/0.29 (((connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i)) = $true) | ($true != ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ $true)))),
% 0.20/0.29 inference(not_proxy_clausification,[],[f42])).
% 0.20/0.29 thf(f51,plain,(
% 0.20/0.29 (((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (~ (connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i)))) = $false)),
% 0.20/0.29 inference(trivial_inequality_removal,[],[f43])).
% 0.20/0.29 thf(f59,plain,(
% 0.20/0.29 (((connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i)) = $true)),
% 0.20/0.29 inference(forward_subsumption_resolution,[],[f50,f35])).
% 0.20/0.29 thf(f61,plain,(
% 0.20/0.29 ($false = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (~ $true))))),
% 0.20/0.29 inference(backward_demodulation,[],[f51,f59])).
% 0.20/0.29 thf(f62,plain,(
% 0.20/0.29 ($false = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ $false)))),
% 0.20/0.29 inference(boolean_simplification,[],[f61])).
% 0.20/0.29 thf(f70,plain,(
% 0.20/0.29 ( ! [X0 : $i,X1 : $i] : ((((orientation_THFTYPE_IiiioI @ X0 @ X1 @ lNear_THFTYPE_i)) = $false) | (((connected_THFTYPE_IiioI @ X0 @ X1)) = $false) | ($true != $true)) )),
% 0.20/0.29 inference(constrained_superposition,[],[f38,f37])).
% 0.20/0.29 thf(f71,plain,(
% 0.20/0.29 ( ! [X0 : $i,X1 : $i] : ((((orientation_THFTYPE_IiiioI @ X0 @ X1 @ lNear_THFTYPE_i)) = $false) | (((connected_THFTYPE_IiioI @ X0 @ X1)) = $false)) )),
% 0.20/0.29 inference(trivial_inequality_removal,[],[f70])).
% 0.20/0.29 thf(f74,plain,(
% 0.20/0.29 ( ! [X0 : $i] : (($true != $true) | (((instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i)) != $true) | (((agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ X0)) != $true) | ($true = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (orientation_THFTYPE_IiiioI @ X0 @ lReiner_THFTYPE_i @ lNear_THFTYPE_i))))) )),
% 0.20/0.29 inference(constrained_superposition,[],[f31,f32])).
% 0.20/0.29 thf(f75,plain,(
% 0.20/0.29 ( ! [X0 : $i] : ((((instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i)) != $true) | (((agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ X0)) != $true) | ($true = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (orientation_THFTYPE_IiiioI @ X0 @ lReiner_THFTYPE_i @ lNear_THFTYPE_i))))) )),
% 0.20/0.29 inference(trivial_inequality_removal,[],[f74])).
% 0.20/0.29 thf(f78,plain,(
% 0.20/0.29 ( ! [X0 : $i] : ((((agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ X0)) != $true) | ($true = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (orientation_THFTYPE_IiiioI @ X0 @ lReiner_THFTYPE_i @ lNear_THFTYPE_i))))) )),
% 0.20/0.29 inference(forward_subsumption_resolution,[],[f75,f29])).
% 0.20/0.29 thf(f85,plain,(
% 0.20/0.29 ($true != $true) | ($true = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i))))),
% 0.20/0.29 inference(constrained_superposition,[],[f78,f30])).
% 0.20/0.29 thf(f87,plain,(
% 0.20/0.29 ($true = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i))))),
% 0.20/0.29 inference(trivial_inequality_removal,[],[f85])).
% 0.20/0.29 thf(f91,plain,(
% 0.20/0.29 (((connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i)) = $false) | ($true = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ $false)))),
% 0.20/0.29 inference(constrained_superposition,[],[f87,f71])).
% 0.20/0.29 thf(f92,plain,(
% 0.20/0.29 ($true = $false) | ($true = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ $false)))),
% 0.20/0.29 inference(forward_demodulation,[],[f91,f59])).
% 0.20/0.29 thf(f93,plain,(
% 0.20/0.29 ($true = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ $false)))),
% 0.20/0.29 inference(trivial_inequality_removal,[],[f92])).
% 0.20/0.29 thf(f94,plain,(
% 0.20/0.29 ($true = $false)),
% 0.20/0.29 inference(forward_demodulation,[],[f93,f62])).
% 0.20/0.29 thf(f95,plain,(
% 0.20/0.29 $false),
% 0.20/0.29 inference(trivial_inequality_removal,[],[f94])).
% 0.20/0.29 % SZS output end Proof for theBenchmark
% 0.20/0.29 % (678584)------------------------------
% 0.20/0.29 % (678584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (678584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (678584)CaDiCaL version: 2.1.3
% 0.20/0.29 % (678584)Termination reason: Refutation
% 0.20/0.29 % (678584)Time elapsed: 0.006 s
% 0.20/0.29 % (678584)Peak memory usage: 12 MB
% 0.20/0.29 % (678584)Instructions burned: 8 (million)
% 0.20/0.29 % (678574)Success in time 0.043 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------