%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n019.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 07:47:19 AM UTC 2026
% Result : Theorem 0.20s 0.29s
% 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.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.20 % Computer : n019.cluster.edu
% 0.11/0.20 % Model : x86_64 x86_64
% 0.11/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.20 % Memory : 8046.5625MB
% 0.11/0.20 % OS : Linux 6.8.0-71-generic
% 0.11/0.20 % CPULimit : 300
% 0.11/0.20 % WCLimit : 300
% 0.11/0.20 % DateTime : Tue Sep 29 17:56:33 UTC 2026
% 0.11/0.20 % CPUTime :
% 0.11/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.23 Running first-order model finding
% 0.11/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.29 % (1149859)Will run a generic schedule for satisfiability detection.
% 0.20/0.29 % (1149865)% WARNING: option uhcvi not known.
% 0.20/0.29 % (1149870)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1822174608:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.29 % (1149868)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2623782988:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.29 % (1149864)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2805631368_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.29 % (1149866)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=851982466:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.29 % (1149865)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=18687730:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.29 % (1149867)dis+10_1_sil=32000:sp=arity:random_seed=1024745600:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.29 % (1149869)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3305691378:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.29 % (1149868)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.29 % (1149865)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.29 % Exception at run slice level
% 0.20/0.29 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.29 % (1149865)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.20/0.29 % (1149870) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1149859-1149870"...
% 0.20/0.29 % (1149867) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1149859-1149867"...
% 0.20/0.29 % (1149869) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1149859-1149869"...
% 0.20/0.29 % (1149865) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1149859-1149865"...
% 0.20/0.29 % (1149870)...printing done.
% 0.20/0.29 % (1149870)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Theorem for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% 0.20/0.29 thf(type_def_5, type, num: $tType).
% 0.20/0.29 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.20/0.29 thf(func_def_0, type, agent_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.29 thf(func_def_1, type, connected_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.29 thf(func_def_2, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.20/0.29 thf(func_def_3, type, instance_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.29 thf(func_def_8, type, lWhenFn_THFTYPE_IiiI: ($i > $i)).
% 0.20/0.29 thf(func_def_10, type, orientation_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.20/0.29 thf(func_def_12, type, vNOT: ($o > $o)).
% 0.20/0.29 thf(f1,axiom,(
% 0.20/0.29 (agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i)),
% 0.20/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax)).
% 0.20/0.29 thf(f2,axiom,(
% 0.20/0.29 (agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i)),
% 0.20/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001)).
% 0.20/0.29 thf(f3,axiom,(
% 0.20/0.29 (instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i)),
% 0.20/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002)).
% 0.20/0.29 thf(f4,axiom,(
% 0.20/0.29 (holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ $true)),
% 0.20/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003)).
% 0.20/0.29 thf(f5,axiom,(
% 0.20/0.29 ! [X0 : $i,X1 : $i,X2 : $i] : (((agent_THFTYPE_IiioI @ X0 @ X1) & (agent_THFTYPE_IiioI @ X0 @ X2) & (instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i)) => (holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ X0) @ (orientation_THFTYPE_IiiioI @ X2 @ X1 @ lNear_THFTYPE_i)))),
% 0.20/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004)).
% 0.20/0.29 thf(f6,axiom,(
% 0.20/0.29 ! [X0 : $i,X1 : $i] : ((orientation_THFTYPE_IiiioI @ X0 @ X1 @ lNear_THFTYPE_i) => (~ (connected_THFTYPE_IiioI @ X0 @ X1)))),
% 0.20/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005)).
% 0.20/0.29 thf(f7,conjecture,(
% 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 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.20/0.29 thf(f8,negated_conjecture,(
% 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(negated_conjecture,[status(cth)],[f7])).
% 0.20/0.29 thf(f9,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(f10,plain,(
% 0.20/0.29 (((agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i)) = $true)),
% 0.20/0.29 inference(fool_elimination,[],[f9])).
% 0.20/0.29 thf(f11,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(f12,plain,(
% 0.20/0.29 (((agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i)) = $true)),
% 0.20/0.29 inference(fool_elimination,[],[f11])).
% 0.20/0.29 thf(f13,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(f14,plain,(
% 0.20/0.29 (((instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i)) = $true)),
% 0.20/0.29 inference(fool_elimination,[],[f13])).
% 0.20/0.29 thf(f15,plain,(
% 0.20/0.29 (holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ $true)),
% 0.20/0.29 inference(rectify,[],[f4])).
% 0.20/0.29 thf(f16,plain,(
% 0.20/0.29 ($true = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ $true)))),
% 0.20/0.29 inference(fool_elimination,[],[f15])).
% 0.20/0.29 thf(f17,plain,(
% 0.20/0.29 ! [X0 : $i,X1 : $i,X2 : $i] : (((agent_THFTYPE_IiioI @ X0 @ X1) & (agent_THFTYPE_IiioI @ X0 @ X2) & (instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i)) => (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(f18,plain,(
% 0.20/0.29 ! [X0 : $i,X1 : $i,X2 : $i] : (((((agent_THFTYPE_IiioI @ X0 @ X1)) = $true) & (((agent_THFTYPE_IiioI @ X0 @ X2)) = $true) & (((instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i)) = $true)) => (((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ X0) @ (orientation_THFTYPE_IiiioI @ X2 @ X1 @ lNear_THFTYPE_i))) = $true))),
% 0.20/0.29 inference(fool_elimination,[],[f17])).
% 0.20/0.29 thf(f19,plain,(
% 0.20/0.29 ! [X0 : $i,X1 : $i] : ((orientation_THFTYPE_IiiioI @ X0 @ X1 @ lNear_THFTYPE_i) => (~ (connected_THFTYPE_IiioI @ X0 @ X1)))),
% 0.20/0.29 inference(rectify,[],[f6])).
% 0.20/0.29 thf(f20,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(fool_elimination,[],[f19])).
% 0.20/0.29 thf(f21,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(f22,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,[],[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,[],[f22])).
% 0.20/0.29 thf(f24,plain,(
% 0.20/0.29 ! [X0 : $i,X1 : $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) | (((agent_THFTYPE_IiioI @ X0 @ X2)) != $true) | (((instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i)) != $true)))),
% 0.20/0.29 inference(ennf_transformation,[],[f18])).
% 0.20/0.29 thf(f25,plain,(
% 0.20/0.29 ! [X0 : $i,X1 : $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) | (((agent_THFTYPE_IiioI @ X0 @ X2)) != $true) | (((instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i)) != $true))),
% 0.20/0.29 inference(flattening,[],[f24])).
% 0.20/0.29 thf(f26,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(ennf_transformation,[],[f20])).
% 0.20/0.29 thf(f27,plain,(
% 0.20/0.29 (((agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i)) = $true)),
% 0.20/0.29 inference(cnf_transformation,[],[f10])).
% 0.20/0.29 thf(f28,plain,(
% 0.20/0.29 (((agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i)) = $true)),
% 0.20/0.29 inference(cnf_transformation,[],[f12])).
% 0.20/0.29 thf(f29,plain,(
% 0.20/0.29 (((instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i)) = $true)),
% 0.20/0.29 inference(cnf_transformation,[],[f14])).
% 0.20/0.29 thf(f30,plain,(
% 0.20/0.29 ($true = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ $true)))),
% 0.20/0.29 inference(cnf_transformation,[],[f16])).
% 0.20/0.29 thf(f31,plain,(
% 0.20/0.29 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i)) != $true) | (((agent_THFTYPE_IiioI @ X0 @ X1)) != $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(cnf_transformation,[],[f25])).
% 0.20/0.29 thf(f32,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(cnf_transformation,[],[f26])).
% 0.20/0.29 thf(f33,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,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(f36,plain,(
% 0.20/0.29 ( ! [X0 : $i,X1 : $i] : ((((orientation_THFTYPE_IiiioI @ X0 @ X1 @ lNear_THFTYPE_i)) != $true) | (((connected_THFTYPE_IiioI @ X0 @ X1)) = $false)) )),
% 0.20/0.29 inference(not_proxy_clausification,[],[f32])).
% 0.20/0.29 thf(f39,plain,(
% 0.20/0.29 ($true != ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (~ $true)))) | (((connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i)) = $false)),
% 0.20/0.29 inference(constrained_superposition,[],[f33,f35])).
% 0.20/0.29 thf(f45,plain,(
% 0.20/0.29 ($true != ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ $false))) | (((connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i)) = $false)),
% 0.20/0.29 inference(boolean_simplification,[],[f39])).
% 0.20/0.29 thf(f55,definition,(
% 0.20/0.29 spl0_2 <=> ($true = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ $true)))),
% 0.20/0.29 introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition])).
% 0.20/0.29 thf(f57,plain,(
% 0.20/0.29 ($true != ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ $true))) | spl0_2),
% 0.20/0.29 inference(avatar_component_clause,[],[f55])).
% 0.20/0.29 thf(f60,definition,(
% 0.20/0.29 spl0_3 <=> (((connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i)) = $false)),
% 0.20/0.29 introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition])).
% 0.20/0.29 thf(f62,plain,(
% 0.20/0.29 (((connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i)) = $false) | ~spl0_3),
% 0.20/0.29 inference(avatar_component_clause,[],[f60])).
% 0.20/0.29 thf(f64,definition,(
% 0.20/0.29 spl0_4 <=> ($true = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ $false)))),
% 0.20/0.29 introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition])).
% 0.20/0.29 thf(f67,plain,(
% 0.20/0.29 spl0_3 | ~spl0_4),
% 0.20/0.29 inference(avatar_split_clause,[],[f45,f64,f60])).
% 0.20/0.29 thf(f75,plain,(
% 0.20/0.29 ( ! [X0 : $o] : ((((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ X0)) != X0) | ($false = X0)) ) | spl0_2),
% 0.20/0.29 inference(constrained_superposition,[],[f57,f35])).
% 0.20/0.29 thf(f79,plain,(
% 0.20/0.29 ( ! [X0 : $o] : (($false = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ X0))) | ($false = X0) | ($false = X0)) ) | spl0_2),
% 0.20/0.29 inference(xor_proxy_clausification,[],[f75])).
% 0.20/0.29 thf(f80,plain,(
% 0.20/0.29 ( ! [X0 : $o] : (($false = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ X0))) | ($false = X0)) ) | spl0_2),
% 0.20/0.29 inference(duplicate_literal_removal,[],[f79])).
% 0.20/0.29 thf(f105,plain,(
% 0.20/0.29 ($true = $false) | ($true = $false) | spl0_2),
% 0.20/0.29 inference(constrained_superposition,[],[f30,f80])).
% 0.20/0.29 thf(f119,plain,(
% 0.20/0.29 ($true = $false) | spl0_2),
% 0.20/0.29 inference(duplicate_literal_removal,[],[f105])).
% 0.20/0.29 thf(f120,plain,(
% 0.20/0.29 $false | spl0_2),
% 0.20/0.29 inference(trivial_inequality_removal,[],[f119])).
% 0.20/0.29 thf(f121,plain,(
% 0.20/0.29 spl0_2),
% 0.20/0.29 inference(avatar_contradiction_clause,[],[f120])).
% 0.20/0.29 thf(f134,plain,(
% 0.20/0.29 ( ! [X0 : $i,X1 : $i] : (($true != $true) | (((connected_THFTYPE_IiioI @ X0 @ X1)) = $false) | (((orientation_THFTYPE_IiiioI @ X0 @ X1 @ lNear_THFTYPE_i)) = $false)) )),
% 0.20/0.29 inference(constrained_superposition,[],[f36,f35])).
% 0.20/0.29 thf(f135,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,[],[f134])).
% 0.20/0.29 thf(f137,plain,(
% 0.20/0.29 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true != ((agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ X0))) | ($true != ((agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ X1))) | ($true = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (orientation_THFTYPE_IiiioI @ X1 @ X0 @ lNear_THFTYPE_i))))) )),
% 0.20/0.29 inference(constrained_superposition,[],[f31,f29])).
% 0.20/0.29 thf(f138,plain,(
% 0.20/0.29 ( ! [X0 : $i,X1 : $i] : (($true != ((agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ X1))) | ($true != ((agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ X0))) | ($true = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (orientation_THFTYPE_IiiioI @ X1 @ X0 @ lNear_THFTYPE_i))))) )),
% 0.20/0.29 inference(trivial_inequality_removal,[],[f137])).
% 0.20/0.29 thf(f145,plain,(
% 0.20/0.29 ( ! [X0 : $i] : (($true != $true) | ($true != ((agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ X0))) | ($true = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ X0 @ lNear_THFTYPE_i))))) )),
% 0.20/0.29 inference(constrained_superposition,[],[f138,f28])).
% 0.20/0.29 thf(f148,plain,(
% 0.20/0.29 ( ! [X0 : $i] : (($true != ((agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ X0))) | ($true = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ X0 @ lNear_THFTYPE_i))))) )),
% 0.20/0.29 inference(trivial_inequality_removal,[],[f145])).
% 0.20/0.29 thf(f176,plain,(
% 0.20/0.29 ($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,[],[f148,f27])).
% 0.20/0.29 thf(f177,plain,(
% 0.20/0.29 ($true = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i))))),
% 0.20/0.29 inference(trivial_inequality_removal,[],[f176])).
% 0.20/0.29 thf(f181,plain,(
% 0.20/0.29 ($true = ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ $false))) | (((connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i)) = $false)),
% 0.20/0.29 inference(constrained_superposition,[],[f177,f135])).
% 0.20/0.29 thf(f182,plain,(
% 0.20/0.29 spl0_3 | spl0_4),
% 0.20/0.29 inference(avatar_split_clause,[],[f181,f64,f60])).
% 0.20/0.29 thf(f187,plain,(
% 0.20/0.29 ($true != ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (~ $false)))) | ~spl0_3),
% 0.20/0.29 inference(constrained_superposition,[],[f33,f62])).
% 0.20/0.29 thf(f188,plain,(
% 0.20/0.29 ($true != ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ $true))) | ~spl0_3),
% 0.20/0.29 inference(boolean_simplification,[],[f187])).
% 0.20/0.29 thf(f195,plain,(
% 0.20/0.29 ~spl0_2 | ~spl0_3),
% 0.20/0.29 inference(avatar_split_clause,[],[f188,f60,f55])).
% 0.20/0.29 cnf(s2, plain, spl0_3 | ~spl0_4, inference(sat_conversion,[],[f67])).
% 0.20/0.29 cnf(s8, plain, spl0_2, inference(sat_conversion,[],[f121])).
% 0.20/0.29 cnf(s11, plain, spl0_3 | spl0_4, inference(sat_conversion,[],[f182])).
% 0.20/0.29 cnf(s14, plain, ~spl0_2 | ~spl0_3, inference(sat_conversion,[],[f195])).
% 0.20/0.29 cnf(s15, plain, ~spl0_3, inference(rat,[],[s14,s8])).
% 0.20/0.29 cnf(s16, plain, spl0_4, inference(rat,[],[s11,s15])).
% 0.20/0.29 cnf(s18, plain, $false, inference(rat,[],[s2,s16,s15])).
% 0.20/0.29 thf(f196,plain,(
% 0.20/0.29 $false),
% 0.20/0.29 inference(avatar_sat_refutation,[],[s18])).
% 0.20/0.29 % SZS output end Proof for theBenchmark
% 0.20/0.29 % (1149870)------------------------------
% 0.20/0.29 % (1149870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (1149870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (1149870)CaDiCaL version: 2.1.3
% 0.20/0.29 % (1149870)Termination reason: Refutation
% 0.20/0.29 % (1149870)Time elapsed: 0.008 s
% 0.20/0.29 % (1149870)Peak memory usage: 12 MB
% 0.20/0.29 % (1149870)Instructions burned: 12 (million)
% 0.20/0.29 % (1149859)Success in time 0.044 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------