%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL835-1 : 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 : n010.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 : Tue Sep 29 11:56:48 AM UTC 2026
% Result : Unsatisfiable 5.29s 1.64s
% Output : Refutation 5.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 4
% Syntax : Number of formulae : 5 ( 4 unt; 0 def)
% Number of atoms : 7 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-5 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f503,axiom,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X3),X1))
| c_Type_Otyping(X0,X1,X2)
| ~ c_Type_Otyping(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subject__reduction_0) ).
fof(f556,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_T_0) ).
fof(f563,axiom,
hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f565,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f600,plain,
$false,
inference(unit_resulting_resolution,[],[f503,f556,f563,f565]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL835-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 16:59:01 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.29/1.64 % (1166119)Input is clausal, will run a generic CNF schedule.
% 5.29/1.64 % (1166128)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2000191896:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.29/1.64 % (1166128)Instruction limit reached!
% 5.29/1.64 % (1166128)------------------------------
% 5.29/1.64 % (1166128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.64 % (1166128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.64 % (1166128)CaDiCaL version: 2.1.3
% 5.29/1.64 % (1166128)Termination reason: Instruction limit
% 5.29/1.64 % (1166128)Termination phase: Saturation
% 5.29/1.64 % (1166128)Time elapsed: 0.042 s
% 5.29/1.64 % (1166128)Peak memory usage: 89 MB
% 5.29/1.64 % (1166128)Instructions burned: 116 (million)
% 5.29/1.64 % (1166127)lrs+10_1_sil=8000:sp=occurrence:random_seed=385966650:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.29/1.64 % (1166126)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=665920216:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.29/1.64 % (1166124)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=245781536:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.29/1.64 % (1166125)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1697026259:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.29/1.64 % (1166129)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2911496785:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.29/1.64 % (1166130)dis-21_1_sil=8000:lcm=predicate:random_seed=196336371:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 5.29/1.64 % (1166127)Instruction limit reached!
% 5.29/1.64 % (1166127)------------------------------
% 5.29/1.64 % (1166127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.64 % (1166127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.64 % (1166127)CaDiCaL version: 2.1.3
% 5.29/1.64 % (1166127)Termination reason: Instruction limit
% 5.29/1.64 % (1166127)Termination phase: Saturation
% 5.29/1.64 % (1166127)Time elapsed: 0.068 s
% 5.29/1.64 % (1166127)Peak memory usage: 88 MB
% 5.29/1.64 % (1166127)Instructions burned: 107 (million)
% 5.29/1.64 % (1166130)Instruction limit reached!
% 5.29/1.64 % (1166130)------------------------------
% 5.29/1.64 % (1166130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.64 % (1166130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.64 % (1166130)CaDiCaL version: 2.1.3
% 5.29/1.64 % (1166130)Termination reason: Instruction limit
% 5.29/1.64 % (1166130)Termination phase: Saturation
% 5.29/1.64 % (1166130)Time elapsed: 0.068 s
% 5.29/1.64 % (1166130)Peak memory usage: 89 MB
% 5.29/1.64 % (1166130)Instructions burned: 118 (million)
% 5.29/1.64 % (1166138)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1412460995:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.29/1.64 % (1166138)Refutation not found, incomplete strategy
% 5.29/1.64 % (1166138)------------------------------
% 5.29/1.64 % (1166138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.64 % (1166138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.64 % (1166138)CaDiCaL version: 2.1.3
% 5.29/1.64 % (1166138)Termination reason: Refutation not found, incomplete strategy
% 5.29/1.64 % (1166138)Time elapsed: 0.004 s
% 5.29/1.64 % (1166138)Peak memory usage: 88 MB
% 5.29/1.64 % (1166138)Instructions burned: 10 (million)
% 5.29/1.64 % (1166129)Instruction limit reached!
% 5.29/1.64 % (1166129)------------------------------
% 5.29/1.64 % (1166129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.64 % (1166129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.64 % (1166129)CaDiCaL version: 2.1.3
% 5.29/1.64 % (1166129)Termination reason: Instruction limit
% 5.29/1.64 % (1166129)Termination phase: Saturation
% 5.29/1.64 % (1166129)Time elapsed: 0.120 s
% 5.29/1.64 % (1166129)Peak memory usage: 89 MB
% 5.29/1.64 % (1166129)Instructions burned: 180 (million)
% 5.29/1.64 % (1166140)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2485919914:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.29/1.64 % (1166139)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3013253362:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 5.29/1.64 % (1166139)First to succeed.
% 5.29/1.64 % (1166139)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1166119"
% 5.29/1.64 % (1166138)------------------------------
% 5.29/1.64 % (1166138)------------------------------
% 5.29/1.64 % (1166142)lrs+10_64_to=lpo:sil=8000:random_seed=3709038229:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.29/1.64 % (1166140)Instruction limit reached!
% 5.29/1.64 % (1166140)------------------------------
% 5.29/1.64 % (1166140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.64 % (1166140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.64 % (1166140)CaDiCaL version: 2.1.3
% 5.29/1.64 % (1166140)Termination reason: Instruction limit
% 5.29/1.64 % (1166140)Termination phase: Saturation
% 5.29/1.64 % (1166140)Time elapsed: 0.133 s
% 5.29/1.64 % (1166140)Peak memory usage: 90 MB
% 5.29/1.64 % (1166140)Instructions burned: 220 (million)
% 5.29/1.64 % (1166142)Instruction limit reached!
% 5.29/1.64 % (1166142)------------------------------
% 5.29/1.64 % (1166142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.64 % (1166142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.64 % (1166142)CaDiCaL version: 2.1.3
% 5.29/1.64 % (1166142)Termination reason: Instruction limit
% 5.29/1.64 % (1166142)Termination phase: Saturation
% 5.29/1.64 % (1166142)Time elapsed: 0.080 s
% 5.29/1.64 % (1166142)Peak memory usage: 89 MB
% 5.29/1.64 % (1166142)Instructions burned: 126 (million)
% 5.29/1.64 % (1166145)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1444751984:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.29/1.64 % (1166145)Instruction limit reached!
% 5.29/1.64 % (1166145)------------------------------
% 5.29/1.64 % (1166145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.64 % (1166145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.64 % (1166145)CaDiCaL version: 2.1.3
% 5.29/1.64 % (1166145)Termination reason: Instruction limit
% 5.29/1.64 % (1166145)Termination phase: Saturation
% 5.29/1.64 % (1166145)Time elapsed: 0.060 s
% 5.29/1.64 % (1166145)Peak memory usage: 91 MB
% 5.29/1.64 % (1166145)Instructions burned: 199 (million)
% 5.29/1.64 % (1166139)Refutation found. Thanks to Tanya!
% 5.29/1.64 % SZS status Unsatisfiable for theBenchmark
% 5.29/1.64 % SZS output start Proof for theBenchmark
% See solution above
% 5.29/1.64 % (1166139)------------------------------
% 5.29/1.64 % (1166139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.64 % (1166139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.64 % (1166139)CaDiCaL version: 2.1.3
% 5.29/1.64 % (1166139)Termination reason: Refutation
% 5.29/1.64 % (1166139)Time elapsed: 0.022 s
% 5.29/1.64 % (1166139)Peak memory usage: 89 MB
% 5.29/1.64 % (1166139)Instructions burned: 37 (million)
% 5.29/1.64 % (1166139)------------------------------
% 5.29/1.64 % (1166139)------------------------------
% 5.29/1.64 % (1166119)Success in time 0.689 s
% 5.29/1.64 % Vampire exiting
%------------------------------------------------------------------------------