%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT262-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 11:46:25 AM UTC 2026
% Result : Unsatisfiable 3.42s 1.37s
% Output : Refutation 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 3 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_lessequals(v_S,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
~ c_lessequals(v_S,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
fof(f4,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A,
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : c_Tarski_Opotype_Opset(c_Tarski_Odual(X0,X1),X1,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) ).
fof(f6,plain,
~ c_lessequals(v_S,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)),
inference(forward_demodulation,[],[f2,f5]) ).
fof(f7,plain,
c_lessequals(v_S,v_A,tc_set(t_a)),
inference(forward_demodulation,[],[f1,f4]) ).
fof(f8,plain,
~ c_lessequals(v_S,v_A,tc_set(t_a)),
inference(forward_demodulation,[],[f6,f4]) ).
fof(f9,plain,
$false,
inference(forward_subsumption_resolution,[],[f8,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT262-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.04/0.36 % CPULimit : 300
% 0.04/0.36 % WCLimit : 300
% 0.04/0.36 % DateTime : Sun Sep 27 14:11:21 UTC 2026
% 0.04/0.36 % CPUTime :
% 0.04/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.40 Running first-order theorem proving
% 0.04/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.42/1.37 % (3562897)Input is clausal, will run a generic CNF schedule.
% 3.42/1.37 % (3562998)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3782097535:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.42/1.37 % (3563001)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=216940968:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.42/1.37 % (3563000)lrs+10_1_sil=8000:sp=occurrence:random_seed=2664812340:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.42/1.37 % (3562999)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=327280861:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.42/1.37 % (3562997)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=4231339105:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.42/1.37 % (3563000)First to succeed.
% 3.42/1.37 % (3563001)Also succeeded, but the first one will report.
% 3.42/1.37 % (3563000)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3562897"
% 3.42/1.37 % (3563002)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1883044309:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.42/1.37 % (3563002)Also succeeded, but the first one will report.
% 3.42/1.37 % (3563003)dis-21_1_sil=8000:lcm=predicate:random_seed=4153188340: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)
% 3.42/1.37 % (3563003)Refutation not found, incomplete strategy
% 3.42/1.37 % (3563003)------------------------------
% 3.42/1.37 % (3563003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.37 % (3563003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.37 % (3563003)CaDiCaL version: 2.1.3
% 3.42/1.37 % (3563003)Termination reason: Refutation not found, incomplete strategy
% 3.42/1.37 % (3563003)Time elapsed: 0.001 s
% 3.42/1.37 % (3563003)Peak memory usage: 87 MB
% 3.42/1.37 % (3563000)Refutation found. Thanks to Tanya!
% 3.42/1.37 % SZS status Unsatisfiable for theBenchmark
% 3.42/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 3.42/1.37 % (3563000)------------------------------
% 3.42/1.37 % (3563000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.37 % (3563000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.37 % (3563000)CaDiCaL version: 2.1.3
% 3.42/1.37 % (3563000)Termination reason: Refutation
% 3.42/1.37 % (3563000)Time elapsed: 0.001 s
% 3.42/1.37 % (3563000)Peak memory usage: 88 MB
% 3.42/1.37 % (3563000)------------------------------
% 3.42/1.37 % (3563000)------------------------------
% 3.42/1.37 % (3562897)Success in time 0.42 s
% 3.42/1.37 % Vampire exiting
%------------------------------------------------------------------------------